Extension of Frame's type inequalities to Bessel and modified Bessel functions

2016/03/13 by Khaled Mehrez, Mehrez, Khaled
Mathematics · #33C10 #33C15 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA #msc:33C10 #msc:33C15

paper · pdf · doi:10.48550/arxiv.1603.04024

arxiv created 2016/03/13 · openalex publication_date 2016/03/13 · arxiv updated 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we extend the hyperbolic analogue of these trigonometric inequalities. As an application of these results we present a generalization of Cusa-type inequality to modified Bessel function. Our main motivation to write this paper is a recent publication of Chen and Sándor, which we wish to complement.

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